TTR125 LE starter issues

[lesr1234]

Your thoughts are needed. My sons 2004 ttr125 electric start started acting up last weekend. It starts up fine using the electric start when cold but after riding for some time you kill the bike and try to restart it using the start button and nothing. Starter doesn't work when hitting the button. Bike will run fine by kick starting it. Let it sit overnight and it will start the next day when cold using start button on handlebars. thoughts? LR.

[DDACT]

What happens if you try to jump it (car motor OFF!) when it's hot? Does the starter turn then?