What is the names and prices can it cause more probloms

Kelly,
Sounds like your batterys charge may be down because of a number of things. Depending on how old the battery is you could have a bad or more then one bad cell in the battery. If so the cold weather will really bring this out and there will not be enough power to turn your car over. Another problem could be that maybe you left a light on in your car, radar detector left plugged in etc that brought the power down in your battery. I have seen this plenty of times over the years. And another problem could be your alternators internal regulator is bad not putting a charge back into your battery. It could be a few different things. The bad thing is from what you stated you have freezing weather. If a battery is dead or almost dead the battery electrolyte (battery acid) inside of the battery turns to water. This water will freeze inside the battery which will crack the cell plates inside the battery making for a junk battery. In this case you will need a new battery. If you put a new battery in make sure someone checks your electrical system out to make sure your alternator is still good because if your alternator is bad you will end up with the same problem I just described even with a brand new battery installed. I have been in the automotive parts business now 29 years and I have seen this happen many times. Some people think that they just need a new battery never checking out the electrical system only to have the new battery fail on them.

Kelly, You didn't mention what engine you have but I am willing to bet you have the 4.3 V6. Standing in front of your Blazer with the hood up and looking down to the right if your radiator is where your oil filter on a 4.3L should be. It just may be the oil filter leaking. Might not be on tight enough. If you don't have tools and don't know what your are doing I would just take it over to a quick lube place and have them do an oil change. At that point they will need to change your oil filter and will see the leak. They should be able to tell you if the leak is coming from your oil filter or the hoses that take the oil to that filter. Have them take a look under the hood before you have them do any work to see what they think.

Fred