Blower motor

I do not know what that rubber cover the motor is for but it should just come out after you remove the screws you may have to pry a little to get the sealant under the motor to break loose, but you should be able to get it out.

Okay, try removing the glove box and see if there is anything behind there and you should only have to remove that panel it is what you said it is a sound barrier and makes it look nice under the dash. Is it stuck under next to firewall or on glove box side if it is on firewall side there are no screws up there that you cannot see if it is on the glove box side then there could be some behind glove box.

Here is what the resistor looks like and you could have a clogged drain hole you will need to check up inside to the right to find it:

The blower motor resistor is on the passenger side behind the glove box. If you have a bit of patience you will be able to do it yourself.
1. First detach the glove box by removing the plastic restraint on the left side and depressing both sides and pulling down. Be careful, it breaks really easily.

Once the glove box is out of the way use a flashlight and look directly on top of the air box. There is a metal bracket held in with two small screws with a relay on it (I used a 7mm).

2. Undo the screws and carefully push the bracket upwards, there is a plug connecting two wires held in by a plastic nub.

3. Remove the nub by squeezing it and pulling on it lightly.

4. Push the wire and any others in there that you can to the side to get them out of the way.
5. Next unplug the relay.

This should free up the metal bracket and let you remove it. Use a flashlight and look directly behind where the relay was. This is the resistor. It has a group of wires plugged into it and is held in by two more of those little screws.

6. Unplug the wires. I used a flathead to carefully pry open the little latch and push up on the wire. Move the wires to the side. Try to wedge them carefully so they stay out of the way.

7. Use a little wrench and undo the little screws.

8. Remove the old resistor.

I suggest taking your time with the old one to try and find a plan of attack to get it out/in. There is not much room. Replace with the new one and put everything back. Good luck!

If you get frustrated and go for a beer, to find tools, lunch whatever, I suggest that you unplug the little light that usually illuminates the glove box.