Welcome to the weird and wonderful world of reenactment. Glad to see the younger generation are still interested in our heritage enough to express their interest, by keeping it alive, through living history....well done.
With regard to groups within your area there must be some, although I personally do not know any. There are many small groups whose members live, meet and train within a certain local area; however they, like the large National societies, actually have to travel all over the country from Scotland to Cornwall to attend events, fayres and battle anniversaries.
You mention your father is willing to accompany you, well this will be essential while you are under the age of 18, as you will need a responsible adult with you at all times. I do wish you well with your endeavour and would suggest you use this forum and the internet to find a suitable group specialising in your chosen period, To begin your research you could look at Conquest www.angevin.org
a national group of Anglo Norman reenactors specialising in the high mediaeval period 1066 to approximately 1315 (Hastings to Bannockburn).
Good luck and do not be shy, talk with the groups that cover the period you're interested in and go along to an event, if invited as a guest/potential member, to sample the ambiance, it is the only way to discover if a reenactors life is for you. Most groups have spare kit that you can borrow, when you first join, until you decide to stay and buy your own. Beware though, once addicted it can become like any addiction, all encompassing and very expensive.
Death before dishonour...... The battlefield awaits
Mortis Priusquam Inhonesto Acies Exspecto