The learning curve in these early months with your first child are steep, to say the least Emmylou4004. I think I did the most learning in the first 12 months with my first child than I've ever done - and I have a life which revolves around continual learning. 14 weeks in is very early, it's not surprising you feel overwhelmed. I think the majority of new mums do.
Letting baby cry isn't the answer.
Baby has a need at night and your only requirement as a parent is to figure out what the need is and meet the need. I say "only" like it's easy - it absolutely is not easy!
The most obvious reason for baby to cry is hunger. If baby will feed and is settled after a feed, that was the reason. Never deny a hungry baby a feed (that's the central premise behind on-demand feeding).
But there are ways you can encourage less night feeds. Primarily this involves 'calorie loading' - so try and get as many calories into baby through the day, so less is needed at night. This usually involves more frequent bottles (so feeds closer together) rather than bigger feeds. You should always offer more milk that baby will drink in the bottle, so offering more makes no difference. Instead try re-offering the bottle after winding to see if more is taken. And offer feeds more often so there are more bottles per day. I used to feed every 2h-2h30m from 7pm-11pm. Around 8 full feeds per day during the daytime.
Another way to discourage night wakes is to have an alternate method to settle baby that isn't feeding. The simplest and easiest option for this is the dummy.
But alternate settling methods don't mean refusing a feed. The idea would be that you try for maybe 10-15 minutes to settle baby (preferably in the cot) with the dummy. If it works, great. If it doesn't then feed. But the more you do it, the more baby will get used to being settled independently.
In terms of your daytime, sounds like baby needs more frequent daytime naps. I would suggest trying to get baby back to sleep after 90 minutes awake, unless baby gets grumpy earlier than this.