Hi!
Is your piggy a teddy? Some piggies (of nearly all breeds, but teddies in particular) shed their hair seasonally in spring and autumn quite noticeably. As long as it is all over the body and there are no bald patches resulting, you need not worry.
Can you please check your girl's front teeth, please as long as they are nicely even, and not slanted jagged or inward pointing, there is no problem with the crucial back teeth overgrowing. The incisors, which are there to pick up and cut food, are self-sharpening in a balanced dental system. The premolars and molars at the back are there for chewing and grinding down the food, which should be for over 80% consist of unlimited hay. It is specifically the highly abrasive silica in the grass/hay which guinea pig teeth have evolved against. Veg and pellets should be seen more as a daily treat than as the mainstay of the diet. The correct hay based diet without much in the way of high sugar/high fat food can actually add 1-2 years to the life expectancy and will improve overall long term health, so it is really worth not to be too kind...
Carrots are the equivalent of a doughnut in humans for guinea pigs because of their high sugar content; they should only be an occasional treat and not a daily food anyway.
You may find our diet guide with a sample diet very interesting and helpful:
Long Term Balanced General And Special Needs Guinea Pig Diets
Here are our bonding guide (which covers the post-bonding dominance phase) and our sow guide, which you may find helpful. Be aware that the first few seasons can be more dramatic; the shared excess of emotion acts to bind your girls closer together.
Bonding and Interaction: Illustrated social behaviours and bonding dynamics
Sows: Behaviour and female health problems (including ovarian cysts)