Things to try:
1. Make sure your graphics drivers are updated (from Intel, not from Windows Update). Intel is well known for having weird driver bugs in their GPU drivers, but sometimes they fix them, and they have been getting better lately. If you're using an old one though (such as the one "qualified" by the laptop vendor), all bets are off.
2. Turn Hardware Acceleration off (or on, if it is already off) in MC's Options. This will disable decoding on the GPU, and force it to use software-only rendering, which takes more CPU power, but might work around GPU issues. Of course, this will reduce battery life and might make ROHQ unusable depending on the model of Core i5 in that machine.
3. Switch to ROST when needed. A mobile Core i5 with a HD4000 just might not have enough oomph to handle ROHQ with some content types, unfortunately. If you want, you might be able to set up a Zone Switching scheme where it auto-selects ROST or ROHQ depending on the characteristics of the video. You'd just need two Zones (one set to ROST and one set to ROHQ, otherwise identical) and then set up Zone Switching rules to auto-select the appropriate one at the appropriate time.