Should I be worried about mold?

It has been raining a ton where I live and the house I rent already holds a LOT of moisture. We notified our landlord of some potential water damage (warping, bubbling, and chipping paint on a few walls/ceiling) and he just attributed it to the home being old because the spots did not feel wet (even though they did feel wet/squishy when I felt them).

Additionally, I pointed out some black spots on the ceiling in my bathroom. I understand that mold/mildew can easily occur in a bathroom, but I've lived in mostly old homes and never seen this. He decided to install a new bathroom fan as the current one did not work at all and I expected the black spots to stay away. However, they quickly came back. What is even stranger is that I left the house for about a week for vacation - when I left, there were no black spots, but when I returned there were new spots. It's even sketchier because you can see where he has definitely painted the ceiling multiple times and there are some spots where the ceiling paint is "pulling/peeling" off in a weird way.

Another red flag is mold on the windows. There was a good bit on the window frame in my bathroom and it was black and looked fuzzy so I showed it to my landlord. Also, that window frame has a lot of cracking. He cleaned it off and applied a mold repellent. There were multiple other windows like this in the bedrooms, not quite as bad but still pretty gross so he did the same for those windows.

Lastly, 2 out of 3 roommates have noticed changes in our health. We feel wheezy, constantly congested, have irritated eyes, etc. I typically have sinuses/allergies so I didn't think too much of this, but the other roommate says she has never had issues like this. I do constantly feel super tired and I frequently have headaches. I realize this could be a coincidence and our health issues could be completely unrelated to anything in our home, but it definitely makes me worry more.

Basically, our landlord does not think that there could be any deeper/more serious mold infestation. He is replacing the roof (literally as we speak), but he never has any kind of professionals look at the spots that could be water damage or potential mold. Yes, he cleaned the visible mold, but am I right to be fearing a deeper issue? I wish I could post photos of what was on the windows and the spots on walls and ceilings that we think could be water damage. It's also important to note that our furnace recently had to be replaced because the crawl space had water in it and it got ruined by that. So clearly water was sitting under the house.

Any advice would help. Thanks!