Hi Cowes,
Are you fairly new to running? If you are you're body just won't be used to the stresses that pounding a pavement can do. I had all sorts of aches and pains when I started particularly with my knees and shins.
If you're worried then see a physio but otherwise my feeling is that you just need a couple of days rest to let your tired legs recover. Ice the areas that are sore (literally get an ice cube and rub over the area) and see how your legs feel later this week. If you can't rest or are worried about losing fitness then going for a swim will be less traumatic on your legs.
If I've learnt anything over the short number of years I've been running it's that self diagnosis is not the way to go. I managed to convince myself I had a stress fracture last year after upping my mileage beyond my training plan. Turned out to be a shin splint, bloody painful and honestly thought my shin would snap if I put any pressure on it. I was sidelined me for a month and inevitably had a horrible experience running London.
Do you know if your trainers offering you the correct support?