with regards to the red blots - for now i wouldn't be worried. should they increase in number (a lot) then you should see a doc.
regular dizzy spells can be caused by (as long as the cat scans are clear) a combination of dehydration and/or low iron (anemia). on a basic level you can look into drinking more water regularly (1.5 to 2 liters a day) and taking iron supplements.
are you taking any regular medication at all? or have you been stared on some recently?