Alright. Couple things.
You CAN lose weight at 1800 or likely above. If you are currently tracking, you are likely either not measuring correctly, not tracking completely (eating/drinking and not logging it), or not doing so consistently enough. But, if you have not tracked your baseline calories (where you eat and maintain 200ish lbs) you are starting blind. If you have a hard time losing weight, trying a very big cut (2+lbs a week) is NOT a good idea. If you have a hard time logging consistently or eating below your maintenance calories, a big cut is NOT a good idea.
Losing 2lbs in 2 weeks is great results. If you maintain that rate, that is awesome. If you are eating so little you are feeling sluggish, there are two options - eat more and try to add more activity and lose weight more slowly, or become OK with feeling like that.
I would suggest working on eating 2500 calories a day, tracking EVERYTHING that goes into your mouth (EVERY. THING.), and seeing what your weight does for 2 weeks. Now, based on how you're measuring and tracking, you've established a baseline and can change your calorie intake - e.g. if your weight is holding steady for those two weeks, now you have your baseline intake, take away 250 calories and monitor for 2 more weeks.
As far as training, a couple things...
Training minimally will make you burn less calories than when you were training "normally" and will make whatever caloric reduction less of a reduction, and potentially even into a surplus. Your daily activity (including exercise) can add 400-1000 calories to your daily "burn," and reducing most exercise will drastically effect that.
Why do you want to maintain your strength? If you do not have a competition coming at the end of the cut, it is better to move to something like
@silveraw suggested. Accept "losing" some strength and then "rebuild" later. Getting weaker short term is not that big of a deal.
If you are invested in minimal training, I was going to recommend something more similar to his "singles and backoffs" - work up to an easy max single for that day, do an AMRAP at 90% of that (likely 2-4 reps), then do an AMRAP at 80% (likely 3-6 reps), then do some "fluff and buff" accessories, then walk @ incline for as long as you have time for. I'd suggest doing one "big exercise" a day, and S-B-D once a week each, and rotating variations of each exercise in 3-4 week cycles. For instance, do that with a competition squat in Week 1, a box squat in Week 2, and a pause squat in Week 3; for bench, you could do wide-medium-close grip or you could do flat-incline-decline, etc; for deadlift, blocks-floor-deficit works well - all that assuming you "only" have access to a regular bar. Doing something like this both allows you to maintain some strength, vary the intensity based on how you're feeling (more or less the same as the single @ RPE 9-9.5), but then adding in the reps in back offs and the accessories will help maintain muscle while adding to daily activity. Varying the exercises helps you train to those heavy singles weekly without negative effects. But again, if you do not have a competition at the end of the cut, accept the small loss in strength.
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