I have been doing this synchronization procedure (first time) in bitcoin-qt for over 85 hours and it only came to 31 Weeks Behind. Withdrawed from localbitcoins like 95 hours ago and obviously this balance isn't yet seen. I have come to the step where I cannot wait anymore. I only have 512 dram and it is taking my whole system. Also cannot leave pc runned 24/7 anymore. It would be amazing if someone could please upload to some fast legitimate file sharing website like rapidshare.com the blocks files - remaining ones. Once again I repeat i am at 31 Weeks Behind. Or please if you could at least provide me the downloading link if you already shared blocks files yesterday with anyone else or maximum two days ago. I really need that procedure finished please and would owe you for a lifetime for such files so I can just save them. Would be much faster. I cannot use torrents, even if those files are updated enough and already there - torrents aren't safe and could be full of malware.
If you were in such a hurry to get your coins, why didn't you install a light client as Multibit or Electrum? You could've installed either, use the address it generated for the destination address of your withdrawal, and receive your coins after some minutes.
The point of using the original QT client versus any of these is to increase the Bitcoin network's security by creating more copies of the blockchain.
Options you have: just keep going! Seriously, 31 weeks is not that much time, in about another day you could get it finished. Else, you could try the ordering the blockchain in DVD (I believe there are other sites like that one selling it) or you could try downloading it from a SourceForge "project" containing them up to a certain point (which I believe you're already past) or these others or any of the other links mentioned at the question which I believe this question's a duplicate of.
I think you are confused about the Electrum client. From the bitcoin client you can export your private keys, and then import them elsewhere (actually will be COPYING them elsewhere) such as in to the electrum client. There is not 'an electrum server' it is distributed system and anyone can run a server, private or public; there are many nodes online you can synch to.