Indiana is part of the Drivers License Compact (DLC) while Michigan is not. However Michigan has other agreements with which allows for states such as Indiana to report back to the Driver's Services division of the Michigan Department of State moving violations received out of state by MI motorists. This means that the speeding ticket you received in Indiana will get reported to Michigan if you are convicted of the traffic infraction.

The question of if an out of state traffic ticket will show up on a Michigan driver's record is answered on the Michigan Secretary of State site. Here it states that it is likely that the citation will eventually appear on your Michigan driving record. If the violation substantially corresponds to a violation of a Michigan law, then the conviction will be posted to your driving record and points will be assessed as required by the Michigan Vehicle Code.

If the ticket is for an offense for which a suspension would have been given if the ticket had been received in Michigan, then a suspension will be imposed after the posting of the ticket, allowing time for due process and the sending of a notification letter.

Most states are reciprocal and provide ticket information to the driver's home state. Michigan law requires that the same action be taken for tickets received out-of-state as those received in Michigan, therefore, points and suspensions may be imposed. 

So the Indiana ticket would go on your MI driving record and points would be assigned. Speeding in Michigan is typically 2, 3 or 4 points depending on how many miles per hour over the posted speed limit the ticket was written up for.

Likely you can push back the date of your court appearance or get an extension but to find out for certain you will need to contact the clerk of the court or other state or IN county agency listed on your speeding ticket.