Should I change my calorie intake on rest days?

Hmm.

MFP is designed to be used as follows: Get a calorie goal by setting "activity level" based on activity before intentional exercise (job, home chores, and that sort of thing), then log exercise (or sync a fitness tracker) and eat the exercise calories when intentional exercise is done. That approach inherently addresses the issue you're considering.

If you prefer to eat the same number of calories daily, you can do that. In that case, it would be ideal to use a good TDEE calculator (outside MFP**) and average your exercise plans into your calorie goal. MFP resets at midnight, but our bodies don't, so it's fine to approach it this way if it's easier for you to eat the same calorie level every day. (This does mean it's essential to be realistic about those exercise plans, and actually do the planned exercise!)

** Personally, I like the TDEE calculator linked below, because it lets us compare multiple research-based estimating formulas, and has more activity levels with clearer descriptions than most other such calculators:

https://www.sailrabbit.com/bmr/

The user interface seems complex (maybe scary) at first glance because there's so much information, but if you step through it, it's pretty easy to understand.

Personally, I prefer to use the MFP method, carefully estimating and logging exercise when I do it. If I have a big exercise day, I think it's fine to "bank" some of those calories for another day - like I said, body doesn't reset at midnight. This has worked great for me for almost 9 years now (year of loss, remainder maintenance). For me, it's especially good because much of my exercise varies seasonally and is weather dependent. Effectively, this does mean eating less on a rest day, but kind of backward-wise: It's "move more, eat more", pretty much.

Best wishes!