Yes both of those would be fine.
I even reused the next2me mattress. Some places say get a new mattress for each child, others say it’s ok if it’s a sibling. My baby is 4.5 months old now and toddler is exactly 2yrs older than the baby. I plan to reuse the cot mattress too.
I got a Moses basket from a free site for our village. I did buy the mattress and the liner for the basket new though. Plus new sheets and mattress protector. With DS we used the carrycot for the pushchair for the livingroom, but having a toddler it made it more practical to have something smaller.
I reused most of the clothes. I bought a swaddle, DS didn’t like them but with DD I got a bit desperate after 2 weeks of no sleep. It was very useful for weeks 2-4 until she got too big for it.
The Moses basket mattress and a swaddle. Everything else we have managed to reuse. I suppose our two are born in the same month so the clothes are the right season, if the seasons are different you might want to source extra clothes.
We bought new mam bottles, then after a month changed to lansinoh bottles. It turns out this baby has a high pallet, so she struggled with mam bottles but the lansinoh worked better. Whereas the toddler got on well with mam bottles. I did also buy a new pump but it’s just a hand pump, I never kept the electric pump last time after stopping.