Those ropes will perfectly fine for climbing trees as it's not lead climbing such as being belayed while climbing rock. You'll want the static line and if you're in a tree and subject to a fall, look for a high redirect to minimize impact to you and you're equipment. Some of the properties I don't like in a nylon kernmantle line is the reduced strength when wet, the UV resistance, the water absorption and lesser heat resistance than polyester. That said, don't look a gift horse in the mouth. A three year old rope thats in brand new condition will last you for several years.
I agree 100% with Fred in that a three-wrap prusik will slip at 8-12 kN which isn't a force you will generate in a tree unless you're dropping yourself a serious distance. Also, if you are using SRT and using a cammed ascender as your attachment point, you will die if you drop. They are notorious for desheathing ropes.
Lastly, someone mentioned the 15:1 NFPA safety factor. The safety factor is set for a three kN rescue load and a 12.5mm rope with a 40kN strength. When you tie a knot in said rope you lose 1/3 your strength which brings you down to 27.7 kN that equates to a 10:1 safety factor where your rope is the weakest link in NFPA. A 15:1 SF is a misnomer that causes several people to overengineer their systems in hopes of achieving this SF when it's unnecessary considering that NFPA doesn't spell out a 15:1 SF. They call for 40kN ropes and call a rescue load 3kN. There is also some science behind it in that they take into account that a firefighter may be responding in their turnouts and are generally larger than the 2 kN rescue load that backcountry practitioner using 11.1 mm rope consider.
Anyway, you caught me monologueing. That rope is perfect and stretches more than most when dropped on a rescue load so you'll be fine. As far as climbing, remember that the polyester arborist lines have a 12-15% elongation at failure and nylon lines have a 15-28% elongation at failure, which means that polyester stretches even less. If you still don't want to use them, send them to me (I'll pay postage) and I'll be more than happy to post pictures of me using them...in a tree...with a smile on my face.
Peace