As regards height, I know the max height is 189cm, I will find out the min. tomorrow. (i think it's around 165cm / 5'6".) I wouldn't worry about it though, the min. entry age is 17.5 so you should have finished growing by then.
got some info for you.
The max height for ANY WSOp specialisations (ALM, EW, Acoustics or Linguist) is 189cm.
The min height for all specialisations is 155cm.
Eyesight...Corrected vision IS allowed to a certain degree - obviously not jam jar bottom type glasses. Lazer correction is a no-no.
Also Asthma and hay fever - they are keen on neither.
Hope this helps.