I can create a ticket with LEM or LEM can interact with my ticket system?
You can have Rules in LEM and define them so that when certain Events are correlated it can have an Action on the Rule. One of the actions available is to send an email message. Most ticketing systems can create tickets based on incoming emails, so that might work for you.
If your help desk system can receive receive SNMP Trap alerts and automatically open tickets based on them, you can configure the rule to send those as well as an Action on a Rule.
Here's a guide I have using LEM and WHD as examples on how to have LEM open tickets automatically.
Using Solarwinds Web Help Desk with Patch Manager and Log and Event Manager