a) No, people won't equate maths with that. Firstly the majority of people will probably not realise that they do maths, and secondly the position of treasurer really really doesn't have anything to do with what they do in a maths degree.
b) This is the only point of yours that I agree with - and it's true, the way to get elected into a position is to get out there and know everyone. And whilst on one hand it's bloody annoying, it actually works both ways - there are those people who EVERYONE knows and they know everyone else - but everyone dislikes them. It's a shame to say, but yes - it is about knowing people but then again, if people don't know you, they can't be expected to just trust you with an Exec Position from you saying so.
c) Again I think you're wrong. Lads are lads...but only around other lads. Elections are confidential, and when they actually get to the computer they'll actually take it seriously, to an extent, and so you'll have a chance there. There have been plenty of elections where guys and girls have gone for the same position and me and my male mates have been like "He's a loser, no way am I voting for him". Same gender does NOT equal preference
(In fact, you have some assets that will sway the lads to your side
d) Those who don't read manifestos, tend not to vote. Don't worry about that.
e) Oh. There was no e.
Good luck anyway!