The fat tummy could mean she has parasites (round worms usually), so have her stool checked by a vet. If she's pregnant, the teats turn pink around 3wks. into the pregnancy and then swell as the pregnancy progresses.
As far as crossed eyes is concerned in Siamese, all I know is that if the Siamese is a pedigreed registered cat
this is considered a fault by the show judges and lose points for have crossed eyes. As far as affecting the sight, hopefully a Siamese owner or breeder will give you that info.
A Lynx-point is a regular pointed cat with tabby markings on the the legs and tail. Some cat registrations, such as CFA=Cat Fanciers' Assoc. do not accept the Lynx-point as a color in its show standard---only seal, blue, chocolate and lilac points, but for other Siamese-type breeds
, such as the Colorpoint Shorthair, all Lynx-point colors are accepted.
Breed Profile: The Colorpoint Shorthair
As far as coat shedding is concerned, this is related to the longer days of light past March 21st, to stress and genetics. Most cats will drop coat this time of year and again in the Fall, and at a vet's visit because of stress, or in your case adjusting to a new household. Some cats just shed more than others.