How long can sperm survive in water after a shower?

Can my Mom get pregnant by using the same shower / tub that I used? (I'm a guy).

I'm concerned for three reasons:
1) Sometimes I masturbate in the shower. Today, I masturbated into tissue paper, flushed it, and then rinsed my hands a lot in the shower (didn't rub my hands a lot though), and then grabbed the bar of soap and thought what if a tiny bit of sperm dripped from my hand or arm onto the towel rack, scrubby pad or bar of soap? Afterwards, I washed my hands and arms a lot and showered.

2) While I was showering, cum (or gooy stuff) dripped from my penis, even though I finished masturbating a couple minutes ago. What if it dripped or splashed onto the shower/bathtub tap, bathtub, shower curtains or walls?

3) Sometimes my penis gets a bit wet if I think of something sexy. What if a bit of sperm splashes onto something when I pee?

4) A doctor on this site said that sperm can live for 24-36 hours. Under what conditions is this true?

I dried most of the stuff afterwards, but not the walls or some of the bathtub or toilet.

I'm probably just overthinking it.