"... arm-linux-androideabi-ld.bfd.exe: cannot find -lsqlite3 ..."
Your linker can not find sqlite3. I assume it is looking for a file named "sqlite3.o"
Check that you have this file
C:\Android\laz4android\fpc\2.7.1\units\arm-android\sqlite\sqlite3.o
If you do, add it's path to your project. The path is:
C:\Android\laz4android\fpc\2.7.1\units\arm-android\sqlite\
This path is for devices running Android on ARM CPU.