Am I on the right track?

Bahhhhh looks like someone's just asking to develop neuroendocrine-immune dysfunction/ adrenal fatigue/ I'm gonna be tired all the time/ chronic fatigue. #1 you obviously have more or less ducked up your metabolism. You should be eating around 2000 calories a day not 1300, jebus! and when you got down to 130 pounds what did you think you'd be eating like 300 calories a day or something#2 I'm sure you don't want a bunch of loose skin so try to lose around 2 pounds per week so you're ok at 7 pounds a month.
I would advise you to see your doctor and talk to him/her about this and not some internet gurus

Hello! You definitely don't need to be creating any more than a 500 calorie deficit per day. I would suggest eating about 1500 calories NET a day. To do this, I would also recommend eating back only 50% of your calorie burns from exercise. You'll want to make sure you're logging accurately:

Use a food scale to weigh any food you have to portion out yourself (meat, grain, pasta, veggies, fruit, cookies from a box, etc.) at the bare minimum. You could very well weigh everything you eat (including prepackaged foods like granola bars or yogurt, since these items can have 10%ish more in the package than they say they do).

Whenever you lose 5 lbs, recalculate your TDEE (so 1930 will reduce as you lose weight).

Now to address the muscle. Basically... low weights with high rep is a form of muscle endurance exercise. It helps your muscles be able to withstand exercising for longer. It's pretty much a cardio exercise, though you would maybe feel like it does more. Heavier weights (I recommend compound exercises, take a look at Starting Strength, Stronglifts 5x5, New Rules of Weight Lifting for Women, Strong Curves) will help you grow your strength and your muscles (note that strength and muscle growth aren't exactly the same thing. This is a concept I'm still learning about so I can't fully explain it). If you don't have access to heavy weights, I would recommend looking into calisthenics such as You Are Your Own Gym: Body By You. You're looking for a program that progressively gets harder and harder, it's the only way to build muscle. If you keep doing what you already can do, then your body will stay the same.

Since you are losing weight, you can't technically build muscles at the same time (your body doesn't have any extra calories to work with to grow). However! You would be SURPRISED with how much muscle you have that you don't actually know you have. Which is why, as you're losing fat, you'll want to retain as much muscle as possible.

When we eat at a deficit, our bodies naturally burn both fat and muscle to lose weight (not at equal ratios). If you lift weights during this time as well as eating lot of protein (start with 0.75 times your body weight if you can, you can research this and change it later based on your findings), you'll minimize how much muscle your body will lose. This means, once your fat is reduced, you'll have these lovely muscles that can show through.

At that point, you can choose to eat at a slight surplus and grow muscles (and, yes, gain a bit of fat back) while lifting heavy, or perhaps try a recomp - eating at maintenance while lifting heavy (which I've heard is a slow, slow process).

I hoped that helped!

PS: Please don't compare your weight loss rate to someone elses. We all have different sizes, heights, hormone balances, activity levels that we just can't compare. So comparing weight loss rate also doesn't make sense. You're doing great already

If you lost seven pounds in one month you are doing a lot of things right. Keep that in mind. Do your best not to compare yourself with someone else; you are not living in their skin.

It definitely sounds like you're on the right track. 7 lbs. per month is amazing! Great Job!! Try not to compare yourself to others. Everyone's body is different.