Cow manure runs about 10-3-6 when composted. It's pretty high in nitrogen, but is very low in Phosphorus and Potassium Oxide (Potash) If you have tested your soil you will get a report on what you need to supplement your soil with. Otherwise, you're just adding stuff, and just guessing what your soil might need to grow what you want to grow. There are other trace minerals that could be lacking as well, as knowing the acid/alkaline properties of the soil. I have really rich black soil here, I had added composted horse manure in the past, but I quit doing that, because my soil is very rich organically, and adding more just seemed to cause extra problems with rot here. Your conditions are different then mine, so you have to adjust what you do based on what you're working with. There just is no one size fits all answer to your questions. Your local county extension office is a great resource to help you get your soil analysed.
As far a weed seeds in the compost you bought, I don't know what to tell you about that. I haven't had that issue to deal with. I'd sure not buy that brand again if I were you. Hope I was at least a bit helpful to you.