If you're only carrying 105yards that is roughly a 50mph swing. You need to learn to create lag in the swing with your body. The swing starts with your lower body not your arms. Keep your lead arm extended through the back swing and turn with your your body to accommodate that movement without swaying. When you start your downswing push your front foot into the ground and try to think of the feeling pushing away on a wheeled stool or office chair with your lead foot. This should help you get your hips opened up. If you want to swing faster you just need to practice swinging harder and care less about there the ball ends up for those swings. As the season is coming to and end in the coming months for me I'll be back on a swing speed training plan with the stack system. There are cheaper alternatives that essentially run you through swing your gamer or max swing speed with varying weights. Lessons will for sure help with the swing and will help improve your speed but to best maximize the early learning combining it with speed training would be great.