peterockness wrote:......... There is a loud hum [something is running?] in the trunk when the above problem exists.
Welcome to NICO Pete. If you're a DIY'er you've come to the right place.
Open the trunk and listen. Does it sound like a swarm of bees? How many miles on your Q? 120K plus? Ever had your fuel pump changed? It's probably the fuel pump ($250) and you'll need to change it fast before it takes out your fuel pump control unit (FPCU, about 3X as expensive as the FP). As Paul said your speaker issue is a dying amp attached to the speaker. Go to the parts forum and see if a member has one for sale.
Tell us more about your ownership and maintenance history. Q45.org (sister site) is a good plce to start reading about your Q, especially the Tech Help section (i.e. fuel pump R&R). When you're done there, come back here and search more. Lots of great info in both places. We're looking forward to a lot more posts from you and in the process your Q will take little steps toward running like new again.