Old world lags after update

My old Minecraft world, which I created around version 1.1, has some issues after the 1.7.2 update:

Block lag (blocks come back after mining them for half a second up to a few seconds),

Picking up items also takes half a second up to a few seconds,

Villagers are also moving a bit laggy.

I have normal FPS (around 60 FPS)
I tried to on very low video settings, and on rather high, but it doesn't help.

It doesn't happen in most other worlds (not even in a AMPLIFIED world on high video settings, not in a creative word which I created at the same time as my survival word)