the only thing is that I cannot access for example from VLAN3 the local and floating IP from VLAN 2, but I can access any other machine in VLAN2is this what you are seeing?
sol3475: The BIG-IP system may not respond to ICMP ping requests for a self IP address
http://support.f5.com/kb/en-us/solutions/public/3000/400/sol3475.html
The virtual servers configured on the LTM cannot be accessed from the internal VLANs(vs configured to load balance in vlan 2 can be accesed from VLAN2 but not from VLAN3have you run tcpdump to see what is going on?
e.g.
tcpdump -nni 0.0:nnn -s0 -w /var/tmp/output.pcap host x.x.x.x or host y.y.y.y
x.x.x.x is client ip
y.y.y.y is server ip