" Has anyone else had this kind of a problem ?"
Of course. It's such a common problem that it is tip # 38 at the link below.
What is uncommon in your case is going to be the cost to replace that EI.
If you leave the key on & the points are closed, you melt the points & probably the coil. Thatís a $40 mistake. If you leave the key on w/ EI, thatís a $150 mistake.
Post back w/ the tractors voltage (6v or 12v) & the make/model of the EI. Some of them have a fuse to prevent it from melting w/ too much current.