No it does (my cpu is more powerful than the Intel Pentium D, you cant compare by the GHz they are different designs) here are public benchmark results from geekbench: http://browser.primatelabs.com/processor-benchmarks (if you click 32bit multicore, you will see the celeron 1007u 1.5GHz scored 1980 and the pentium 805 2.66 GHz scored 1092) As you can see here mine did a little bit better: http://browser.primatelabs.com/geekbench3/1568877 at 2093. Don't forget that the Pentium D is a 32 bit CPU and my Celeron 1007u is a 64 bit CPU . As you can see, MY CPU IS NOT TOO WEAK! at least comparing that to what you say the minimum requirements are: https://help.mojang.com/customer/portal/articles/325948-minecraft-system-requirements?b_id=5408
Yes this still does happen in 1.8.1 release
sorry, I'm new to this so please be patient with me.
yes, it does. It happens on all single player maps