It looks like VseWss1.3 Service Identity does not have access to Site Collection where you are trying to deploy Training Management.
Make sure VseWSS1.3 service Identity as member of Site Collection Administrators group(OR Proper permissions to deploy site), where you are training to deploy Solution. if you mentioned
http://localhost in Training Management Project Properties then brose
http://localhost and give proper permissions to service identity to deploy Training Management project.
Otherway to deploy Training Management :
1. Right click on Training Management Solution and Package
2. you will get setup.bat and wsp file in bin\debug folder of Training Management Project, run setup.bat (use "Run as administrator")
let me know if you need more information regarding this.