One issue I finally solved. Ubuntu 11.04 works like a charm for my desktop (1 GB DDR RAM and Pentium 4). No issues with either desktop configuration or shutdown.
However, with my Asus EeePC 1101HA, from the beginning itself there were different issues. It has 1 GB DDR2 (probably) RAM and Intel Atom processor. I had issues with the default desktop configuration (4:3) which made everything