No, this is fine. You are getting this message because you are on a Standalone sharepoint 2010 server, where usually the SharePoint Admin service is in stopped state. The next line "Executing job-application-server-admin-service" does what should have been done by sharepoint admin service if it was runnning. So, this is not the cause of your problem.
Can you please try uninstalling the connector and then installing again.
For uninstallation :
1.) Deactivate the livecycle connector features from the site collection(s).
2.) install.bat -uninstall
3.) install.bat -retract
4.) install.bat -delete
For installation :
1.) install.bat -create
2.) install.bat -add
3.) install.bat -deploy
4.) install.bat -install
5.) goto the site collection and activate the adobe livecycle connector features.
Important : After every command please check to see whether the changes got updated. Run the command stsadm -o enumsolutions. You should get an xml output on the command prompt and make sure you don't see any tags like "<State>...</State>" in the output for your solution named "sharepointconnector.wsp", if you do , run the command again and wait until its gone, then run the next command.
You can also run this command in a seperate terminal.