1/2 marathon training struggles...

Sounds like you need a break- don't be afraid to rest a few days in a row!

I'm in a similar boat - having to put more training into less time for my 1/2 in September. Change your strategy if necessary. Rest and stretch but consider doing a walk/run and start working on how to get that done. Maybe work on 9 min run/1 min walk intervals for your long "runs" and see if it helps. Good luck!!

In my experience it takes up to a week to begin feeling normal again after a hard, longer race. If after a week you are still having bad pains then take a few days off and crosstrain. You can take up to a week off without any fitness loss so don't worry about that.

Given your current level and the amount of time left you can work your way up to the HM. It won't be your fastest but you can get it done and set a mark for future improvement.

With a 7 mile (12k) under your belt. Take a few days off.
When you say that the 7/27 race kicked your butt and you have not yet recovered. In what sense? No strength? Soreness? Pain?
Also, had you reached the 7 mile distance in training before the race? Or were you ate a lesser distance and hit the longer distance race day?
It took me roughly 4 months to get from 10k (6 miles) to the 21k (half marathon distance). I ran 3-4x per week and I was adding to my distance only every couple of weeks. 10k went to 12. Then 12 went to 15. Then 15 to 18. Finally ran 21k about 3 weeks +/- before the race.
It is possible that you have advanced too quickly and your body is sending you a message to slow it down a little.
47 days is not a lot of time to build to 21k if your body is not used to 10k + distances.
If you are determined? You will need to add 2 k per week from now to race day. At a 3 day per week training routine, pick one day as your long slow day. Then run a new long distance each week on this day. But, do not go for speed!! Run the longer distance by running 10 minutes then walking 1 minute. Repeat until you are done. For the balance of the week run one day in the 10k range at a race pace. For your other day, if you have a decent hill near by? Run up and down. Start with 3-4x and add a rep every week until race day.
This is a similar training program to what I am currently using to get to a full marathon distance. But condensed as you do not have lots of time to build to strength/stamina.
I also suggest core work after pace runs. Planks front & side 45 sec + x 3sets after running.
Dynamic range of motion stretching before running and long slow Hatha Yoga style stretching after running.
Last thought/suggestion. Drink LOTS of water. Get a belt or camelpack. Or simply carry a water bottle in one hand. I have found that drinking lost of water while training has dramatically reduced my post run recovery period.
Best of luck!

I'll add to what others said, but hamstring pain could be a sign of fascia tension in the calves or thigh.
try to do some release using a tenis/lacrosse ball, or a rolling pin, google for myofascial release.
the muscles stay contracted after an intense effort (your 7 mile) and the following week should have been a whole week of recovery. try 3/4 days without running with morning and evening releases + complete stretching 3/4 times a day

And again, lots of water.

You are a victim of your own enthusiasm.........a common problem with new runners.

Asa a new runner you've done a 5K in June, a 10K and 7mile in July (with no recovery time in between from the sounds of it) and are planning on a half in September.

Classic too much, too soon, too fast. Ignoring the pain is only going to make things worse, take at least a few days off, buy yourself a foam roller and use it after every run and consider ice baths after your longer runs. With only 47 days until race day don't even think about trying to kill it, think slow and steady. Your long runs should be at a pace that feels almost leisurely to build your base (10.5 or 11 minutes per mile). Stay off the elliptical, if you want to cross train ride your bike, lift weights, swim etc - your elliptical adds pretty much nothing to your running performance whereas biking and weights address muscular imbalances and aid in injury prevention.

Moving forward (I'm hoping that you'll continue running) pick your races with time in between. Read up on the subject of periodization (if you want to be competitive) and use a training plan when building for races.......the coaches who design these generally have a lot of wisdom to share.

Great response Brian.

Never ignore pain, it's your body's way of telling you to take a break or seek treatment.

Definitely agree that you've taken on too much too soon, you've discovered a new love and like any new passion have pursued it to the greatest extent possible, which feels fabulous until it doesn't anymore. Time to start listening to your body, if you make it through the half , simply aim to finish it the same day you start, don't set a time goal, that'll just lead to problems!

You've gotten great advice before my 2 cents so I'll just say this: there is always another race, if you're not ready for it then discretion will definitely be the better part of valour. Give your body time to rest and recover and if the pain isn't going away visit your friendly neighbourhood physio, you may be feeling the pain in your hamstrings, but that doesn't mean that it is originating from there!

Everyone was right that I got overly eager (that's my personality lol)

I should have added, we've all been there!

A few years ago I decided to do the Army Run half-marathon as my first HM, it also just so happened that I had a 100km charity bike ride the week before.......I ended up walking the last 7km with excruciating ITBS and was sidelined for 6 weeks before my massage therapist got me going again.

Everyone was right that I got overly eager (that's my personality lol)

I should have added, we've all been there!

Yep. Same here.

Let me add, you seem to really enjoy running. I have nothing against people who have a bucket list goal to run a half or full marathon, and therefore are seeking to get there as quickly as possible. They will typically meet their goal and move to another activity.

But for people who see running as something they will do for quite a while, I don't agree with seems to be in vogue now of new runners progressing quickly to longer distance races. IMHO, that strategy runs counter to becoming a good, long time runner. These runners would be much better off learning how to run 5ks and 10ks well before doing a half and certainly a full marathon. There is much to be gained from teaching the body and mind how to race, and physically you'll have a much better base and be much better prepared when you do tackle the half. There are a lot of goals and success and satisfaction you can get from running a season of 5k/10k races.

I have done many of the distances. I've raced 3k to 50 milers. Setting a PR or winning an age group award in a 5k is just as satisfying today as it was when I was just starting to run 5ks.