Plan a journey to Tottenham Court Road

I need to plan a journey from my home town (Stubbington) to Tottenham Court Road in London, using a contrast of rail and car journeys.I need to get to a train station so I will use a car at 12.30 to get to Fareham train station from Stubbington which will take about 10 minutes. I will then take the train to London Waterloo at 13.00 which will arrive at its destintaion at 14.51, changing once. I will then take the northern line to Warren Street which runs every 3 minutes and takes 18 minutes and walk to Tottenham Court Road from there. I will arrive at Tottenham Court Road at approximately 15.25.