I had same problem. I copied the missing files to the sqlite pack folder from the other directory. It had been compiled, but lazarus not started, because sqlite.dll missing. And no x64 sqlite.dll exist anywhere!
Solution: uninstall the x64 lazarus, and install the 32bit Lazarus. It works fine! And it has more database possibility.
If you compiled the sqlite package (only need the squlite3) you must copy the sqlite3.dll to the lazarus directory, and to the project directory!