5 month old computer. Suddenly Broken. Help!

Help! I just recently bought a computer about 5 months ago. It is an Acer Aspire v5-572g-6679. So a couple nights ago I was playing an online game and I needed to go to bed so I shut my laptop screen like I normally do, putting it asleep, but this time being impatient putting the computer to sleep with the game closing because I didn’t want to wait for the game to shut down. The next morning I wanted to get on my laptop to get on the internet to look something up, so I opened my laptop and turned it on. My computer was taking an unusually long time to boot up, I automatically assumed it was the game that didn’t close down the previous night so I turned the computer off using the button ( I know this is bad for the laptop ). The next time I turned it on, I let it do its thing, by the way the computer normally takes less than a minute to boot up, so I was concerned at this point. I waited a good 10-15 waiting for it to get past the Acer splash screen and go to the login screen. Then once past splash screen it would take another 5-15 min. trying to load login screen, then once on login screen and I would type in password it didn’t want to login and I had to wait another 5-15 min. for it to go to desktop, then it would load desktop, but it was too slow to barely do anything. Well you get the point, I waited a lot : (

I automatically assumed it was a virus/malware and did get the computer to log on to desktop so I could perform scans. I followed the online guide from http://malwaretips.com/blogs/malware...e-for-windows/ , but only got to complete step 1 & 2 because the computer was so slow I would have to wait a month for malware bytes to finish 1 scan. I found nothing from both step 1 & 2, does that rule out it being a virus???

Because I just bought the laptop I believe I still have the 1 year warranty that everyone gets from Acer, at least I hope. I bought the laptop from Amazon, is there anything they will help me with, give me a replacement? I have heard bad things about Acer and sending computers in for repair, should I do that??

I seriously don’t know what happened overnight for this to happen; this is a brand new laptop that acted perfectly fine the night before. I don’t know what to do….I hope someone can give me a suggestion on what is happening or just simply what to do to diagnose the problem, please I am so lost!

If you need any more information about the laptop please tell me.

I am not sure if this has something to do with what is currently happening with my laptop, but I will tell you anyways, in case someone can link this with my current problem. So about a couple months into owning my laptop, my computer gave me memory problems (RAM (Random Access Memory)), I would be playing a game or just browsing the internet and a little box would pop up saying I had low memory and I needed to close programs, then I would shut off my computer and just turn it back on and it would be working fine again, so I ignored the problem until this new problem happened D:

This is a Windows 8 laptop.
Processor: 1.8 GHz Core i5 3337U
RAM (Random Access Memory): 6 GB DDR3
Hard Drive: 500 GB SATA (Type of Hard Drive)
Graphics Coprocessor: NVIDIA® GeForce® GT 720M