I can see from your photographs that your guitar is so far out of its proper adjustment that the easiest way to fix it would be to take it to a professional guitar repair person and pay them for a setup. That way you know that the job will be done right.
The biggest problem is the bridge. But beyond that, the repair person will also adjust the tension on the truss rod in the neck (to compensate for the tension of the strings according to the gauges you are using and your alternate tuning), and possibly raise or lower the nut (at the headstock). These can affect string height and "action" as well.
Be sure to buy a brand-new set of strings in the the set of gauges you prefer and to give them to the repair technician. They will put the new set of strings on the guitar as part of the set-up procedure. Technicians are never willing to keep the same old set of strings on the guitar during a setup.
Now, about the bridge:
Can you remove the cover on the rear of the guitar and photograph the springs on the back and post it here?
You may need to add more springs to the assembly. The springs provide a counterweight to the tension on the guitar strings, pulling the bridge down and enabling the bridge to sit in the right position (after which the position of the components can be calibrated to provide the kind of behavior you want, such as making the bridge sit flat or "float")
With heavy-gauge strings, tremolo systems like the Fender need to have 5 springs in place.
With extremely light-gauge strings, you can use only 2 or 3 springs.
Here is a YouTube video where a guitar technician explains the relationship between string gauge and string tension and the number of springs on the back and how to adjust them.
The number of springs isn't the only deciding factor: it's also the adjustment of the plate you can see in the photograph above whose position is determined by the two long screws.
Here is another point in the same video where this is explained:
But again, as your guitar's bridge is so very far out of its proper alignment, I think it would be worth it for you to pay a professional guitar technician to calibrate everything correctly.