You can maintain your strength while cutting but if prolong cutting your strength may be stagnant. Refeed by eating at your maintenance once in a while (maybe every 2 weeks for example) to keep you sane.

If you can maintain or even increase your strength while trimming the bodyfat, then keep doing what you are doing. Over time once you lose significant weight you need to recalculate your TDEE and macros. You can try cut some carbs and up the fat a little bit.

Well fats can come from other sources like olive oil and butter. Too bad you dont like peanut butter.. its quite gooding lol.

You can recalculate after your fat loss stalls or you lose slower than expected. There is no hard rule for this but i would say recalc after 2 months as a ballpark figure.

If you can track your bodyfat loss it will be better than to track weight loss as you might gain muscle mass to offset that weight.