In the past couple of weeks my boy dog has started to try and mount her and there are a number of little dominance tit for tat things going on, usually initiated by my girl dog and I'm reasonably sure his behaviour is more asserting himself than a sexual thing. The mounting, when the female in season is more of a sexual thing. Even though your male is neutered, he still can mount, tie, etc. Just you wont have any puppies resulting.
If she wasnt in season, yes, it would be more of a dominance thing. Although, some males think that every time there is a female around, she is there to breed. (Regardless of whether the bitch is in season or not).
whether its to do with her being between seasons (3 months since her last one)I would be a tad concerned about the seasons being that close together. Normally, seasons are every 5-8 months apart, but it isnt unheard of for them to be a year apart. I have never heard of a bitch having a season only 3 months after her last one. But thats only my experience, so I am not saying that it isnt able to happen quite normally.
She's also started to wee in the house every two to three days in the last month, I've had her checked for any water infection and she's fine so I can only assume its a behavioural thing.If you have had her checked for UTIs and such, then I would suggest it be the cause of her being in season. Some bitches, become very dirty before, during and after their seasons.
HTH
Kind Regards
Crespin