Good day everyone, On the photo attached you can see a spider

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Good day everyone,

On the photo attached you can see a spider web around the lamp in my room. I am not at all disturbed by it. It's been there I think since late last year, but I have no intentions of removing it. With the summer approaching here in northern hemisphere, there is bound to be lots of annoying (and potentially dangerous) mosquitoes around. I would love to be a roommate of whatever spider wants to hang out on my ceiling (pun intended) and let them enjoy all the mosquitoes that come in to enjoy the lights and my blood.

The reason that I'm posting this is because I'm concerned that I actually don't have (at least I don't see) any spiders around my room! This is not the only web that has been erected, but they all now appear to be vacant! Over the winter there has not been absolutely any food in the webs, so I presume that whichever spider built the web may have died or moved out.

So my questions are:
1) What do you think happened to the spider that built the web? Is it possible that they hibernate somewhere in my room?
2) If the original spider is no longer around, is it likely that new spiders will move in with warmer weather spontaneously?
3) Will any new spider be happy that a web is already in place and gladly move in, or should I remove all the webs so that a new spider can erect it's own webs?

I'm mainly interested in the answers for number 3. The webs are strategically in perfect locations (on the lamp that insect seek and on the wall next to the window where they enter the room). And just today I noticed a number of small flies (and wings) in one web that I'm pretty sure weren't there just the other day, so I just hope that a spider appears to maintain the webs in good condition. There will be lots of food in the summer.

Thanks everyone!