4G works on rooted I9505 only. Why don't you opt to buy some brand new 3G phone, as most used phones (1 year old have weak batteries or shopkeepers change batteries) and new 100% genuine batteries are not easily available (i checked the market for my friends S4 battery recently). 3G speed is sufficient. 4G is very heavy on battery, so you need good battery for that, which used phones don't have usually.
Rest is your choice, i made my i9505 redundant due to its weak battery, as i could not find any better replacement battery, which was as good as its original one. Battery life is most important to me.