Is there souvenir stores outside the park?

Of course, in the Hotels that are within the Walt Disney Resort complex, there are shops with souvenirs and also in a universl city walk orlando and universal hotels too. Oh I forgot that in the shopping centers (moules) of Orlando you can find souvenirs

There are several ways to shop outside of the parks, one is in CityWalk, if you go after 6pm parking is free. Second is in the universals resort hotels. Third is at the Orlando international Airport, they have stores in the main terminal where the public can shop. They also have a online store you can shop at as well.

Yes there are, in Universal Citywalk if you want specific Universal stuff but they wont carry the same ranges as in the parks themselves.

No, indoor the park