Write A Simple Game On Which The Player Has To Pursuit Some Figures On The Screen?

I'm currently trying to write a really simple game on which the player has to pursuit some figures on the screen. Since i'm just writing the prototype version i'm using a Panel wich i redraw 1000 times per second. Now, i want that every level is similar but not the same as past level, so i created a Level Class that contains the game objetcs of Player Class and the Figure Class, wich are the ones that have all the movement subrutines. So, with a Timer, 1000 times per second, i get the input from a joystick, pass it to the player objetc and update the position of the figure object. All this stuff is reported to an internal Panel that every level object has, wich i refresh and then pass it ByVal to the panel that the player actually sees. The problem i have is that after the first level ends, when the second level starts running, i can see the last frame of the fisrt level flashing behind the figures and it makes the game run a bit slower after every level. I tried keeping a copy of the inicial state of exterior panel and use it to clean the one i'm using on the levels but it didn't work...