Is the Acer Aspire a lemon?

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I have an Acer Aspire notebook/laptop from a relative. They had used it maybe one week or so, had some trouble and set it aside. They ended up buying a new laptop and never did anything with this one. We took it to a repair place who said where the power cord plugs into the computer had been pushed in too far or something. They repaired it, gave us a new power cord/battery and it cost us about $200. I was excited to get an almost new laptop! Recently I have been having trouble with the cord fitting the connection and not charging. I even taped the cord in a certain direction to make it stay still so it would charge while I used the computer. I finally bought another power cord off of eBay for about $20. It worked great for about a week. And then I started having the same trouble with the connection. A few minutes ago, I started smelling something funny and then a little later, it smelled like something burning. Where the cord connects to the computer just fried! OMG! I dug out the old power cord/adapter and plugged it in before the computer lost all of its charge. I had noticed the cord getting really hot once in awhile when I was messing with it to stay still and keep charging. This is becoming a big pain! Is this model 4720Z of the Acer Aspire a lemon? I really don't have the money to go buy a new laptop! ARGH!