Traveled & worked on H1B in 1997 for 18 mon & traveled on RL1.Q is Can I apply under H1B cap exception/H1B transfer?

My H1B was approved in 1997, traveled to US & worked for 18 months. Later traveled to US on many occasions on RL1. Q is Can my current employer apply under H1B cap exception or H1B transfer?

US Entry: Feb16, 1997 US Exit: Oct17, 1997 Non-immigrant status: H1B
US Entry: Nov24, 1997 US Exit: Sep30, 1998 Non-immigrant status: H1B
US Entry: Jan03, 2003 US Exit: May20, 2003 Non-immigrant status: RL1
US Entry: Dec06, 2003 US Exit: Dec24, 2003 Non-immigrant status: RL1
US Entry: Jan20, 2005 US Exit: Oct16, 2005 Non-immigrant status: RL1
US Entry: Oct23, 2005 US Exit: May01, 2006 Non-immigrant status: RL1