I don't own a DP and haven't worked on one. However, whether it is one of the older "V" belts or a serpentine belt, you need to inspect the underside (side that runs on the pulleys). Look for any cracks or pieces missing. If you find any, replace.
This link shows a picture of a good and bad belt, also shows the quality (mileage) difference between a Neoprene belt and an EPDM belt.
Serpentine Belt Diagnostics | Gates Corporation
Generally speaking, replacing a belt shouldn't take much effort. It's a matter of finding the pulley which adjusts the tension. Just take all the tension off, remove the belt and place. If the pulley system is complex, you may want to draw yourself a diagram before removal so you have no problem getting the new one in the right order. If you can't find a part number, you can take the old belt to a dealer or parts store to have it measured and/or obtain a replacement.
Can't help much with the air filter either but, it sounds like you've found it. Remove the hoseclamps and take a peek. If it's there, remove or move what duct work you need to replace the filter. Hopefully someone will chime in with more specific info.