At a speed of 91.09 Mb/s it should only take 54 minutes to download 300GB of blocks.
It is megabits isn't it? Should take a few hours. J1900 also has 4 cores and threads.
Judging by your specs, the synchronization would be extremely slow. If you're not looking to do anything else other than receiving/sending Bitcoins, I would recommend you to just take a look at SPV wallets like Electrum. The limited ram and your computer specs would certainly guarantee that the synchronization will be way slower when you get nearer to the latest blocks.
The synchronization went indeed very fast in the first years. In an hour that was done. BUt now i am at the end of 2016 and it stays going slowly.
It should indeed be better to take wallet lik Electrum. I thought Bicoin Core was the safest.
Anyway, i want to thank everybode for the great help with the quick answers and good explanation. Thank you very much.