Can we go to the park to take pictures in the astros logo even tho there’s no event happening???

Yes. There are plenty of places for professional and amateur photographers to snap a photo of the team's logos and facilities. Be wary doing anything near the pool or too close to training camp (without a media/guest pass). Free parking available on the Haverhill Road side (West Side of FitTeam park

Yes you can !

Yes. There are huge Astros and Nationals logos outside the park at the main entrance to the park. We took lots of pictures before the stadium opened.