yep - varicose veins K - welcome to the club! they're not uncommon (many of us suffer them of varying degrees) and shouldn't cause any problems running - certainly never caused me any, with or wthout compression gear.
however, once they get extensive (your's aren't by the look of it) they can become painful and cause circulation issues but that doesn't usuallly apply to more active people who have them as you are boosting your circulation by exercise - which conversely maybe partly the root cause (along with genetics etc).
I'm not convinced support kit helps - once you have them you have them - but may do so if really bad.
they shouldn't stop your VLM run but if you are worried, or they are painful, go see your GP for some reassurance (although most GPs don't understand running so can give you any old guff!)
PM me if you need