Select text then check type>paragraph, type>character also check control panel.
Troubleshooting 101: Replace, or "trash" your InDesign preferences
A screen shot would help, but I suspect you are saying you no longer see the icons on the Control panel for first line or last line indent. The Control panel is context-sensitive, and when working with text, it has two modes, paragraph or character, controlled by the little icons on the left end. What you see, and where will change with which mode is selected and the length of the Control panel (along with any customizations you might have made to it).