Ceremony 3 days prior to reception?? Help!

I’m gonna start this by saying I totally messed up when I started wedding planning. I initially wanted to go the justice of peace since we aren’t religious at all but then decided I wanted a more beautiful scenery. I found a gorgeous garden in Philadelphia that I wanted to get married at and planned my entire wedding around it. The fee for the space is $250 which doesn’t include chairs, doesn’t allow music and “can’t interfere with day to day operations of the park”. I OBVIOUSLY didn’t think this through. Logistically it would likely be a living nightmare and very stressful.

The biggest problem at this point is that we have already put down a deposit (1/2 the final cost) for the reception space on a Saturday evening in a private room at a restaurant. We have a contract, we are locked in. I want to keep this place and continue what we planned BUT I also want to completely scrap the garden ceremony. My fiancé and I are both back on the same page about the justice of the peace. Second problem is.... they only perform marriages on Wednesdays.
Our entire guest list (25 ppl) lives within 15/20 minutes of where we would be getting legally married. It’s in the town over. With it being a Wednesday, even with notice most people aren’t going to make it. That is okay. Again, we expect that as long as our VIPS (kids, and parents) will be there and they will, we are happy. We aren’t having a bridal party, flowers, photographer present, not even exchanging personal vows at this ceremony- it’s all a legality. I do however want everyone to feel included if they desire to be so everyone is invited to both events. AGAIN, no hard feelings if they don’t come.
This leads me to the final problem, since we already have our venue, photographer, cake ordered, etc, we have to have our reception on Saturday. That is THREE DAYS LATER. ugh! The event is an hour away in a major city but we all have cars and frequent the area. I’m worried that not only may we have a lower guest turn out since we got married 3 days ago (insert another UGH!) but now the reception just feels like a dinner with no dancing. we do plan to still make it feel like a wedding reception as we will do an entrance, we will have valet as guests arrive, gorgeous cake, 4 courses of food, a signature bar, photographer, I’ll have a bouquet, etc. we even considered asking our immediate family to meet us around the corner from the reception (5 mins away) before it begins to take pictures at the garden we wanted to get married at initially.
So not only would I like some feedback about my plan and if it completely sucks or not but, I’d also like to know.... - would you rename the event a wedding celebration- would you invite everyone to both events- should I keep our registry- is there anything we can do to make it feel more like a wedding reception?
TLDR: I messed up and now I’m trying to plan a wedding reception/celebration 3 days after the ceremony. Am I absolutely screwed?
Thanks for reading!