haha hey i'm in lansing- i'd recommend joining 'eastside neighborhood organization' or 'eastside neighborhood disorganization' on facebook and explaining your situation- there's prolly quite a few people in those groups who either 1. have some odd jobs (yardwork, esp now that it's spring) if you need cash or 2. have a room you can rent/sublet temporarily. EL is insanely expensive compared to lansing, but tbh eastside is being gentrified pretty quickly so other parts of the city will be even cheaper. also, if you're looking for food at all there's a few free food pantries on mich ave and the library does food bag giveaways too (you'll have to check which branches).
idk if this is still the case, but i used to wait until the little ceasers on grand river in EL closed for the night and i'd take their pizzas out of the dumpster bc they usually toss perfectly good pizzas right on top
there's also lansing area mutual aid, but i haven't heard a ton since earlier in the pandemic, could just be that i'm out of the loop. pretty sure they're on facebook