factory reset gave me new insight.
when I disconnected it from the network and tried to access 2.4GHz with factory password: it worked!
Then I resumed, altering my IP address to my 192.168.x.x range (same as modem/router), turn off DHCP etc etc. connect the cable to my modem/router to the LAN port. Then the issues appeared again..

ping response to the DIR-868L wasn't stable (both wifi and LAN), messages got lost and/or response was bad.
This made me investigate the connection to my modem/router.
So I disconnected the DIR-868L and attempted to directly ping my modem/router (Cisco ECP3925 from my ISP).
I think that's were all the trouble starts...
Here's the result of my ping (LAN cable attached to modem/router, so without DIR-868, no use of wifi):
MacBook-Pro-van-Stefan:~ stef$ ping 192.168.x.x
PING 192.168.x.x (192.168.x.x): 56 data bytes
64 bytes from 192.168.x.x: icmp_seq=0 ttl=64 time=1.075 ms
Request timeout for icmp_seq 1
Request timeout for icmp_seq 2
64 bytes from 192.168.x.x: icmp_seq=1 ttl=64 time=2436.645 ms
64 bytes from 192.168.x.x: icmp_seq=2 ttl=64 time=1436.292 ms
64 bytes from 192.168.x.x: icmp_seq=3 ttl=64 time=434.847 ms
64 bytes from 192.168.x.x: icmp_seq=4 ttl=64 time=1.274 ms
64 bytes from 192.168.x.x: icmp_seq=5 ttl=64 time=1.018 ms
64 bytes from 192.168.x.x: icmp_seq=6 ttl=64 time=1.024 ms
Request timeout for icmp_seq 9
64 bytes from 192.168.x.x: icmp_seq=7 ttl=64 time=3839.732 ms
64 bytes from 192.168.x.x: icmp_seq=8 ttl=64 time=2839.207 ms
64 bytes from 192.168.x.x: icmp_seq=9 ttl=64 time=1839.177 ms
64 bytes from 192.168.x.x: icmp_seq=10 ttl=64 time=839.111 ms
64 bytes from 192.168.x.x: icmp_seq=11 ttl=64 time=1.258 ms
64 bytes from 192.168.x.x: icmp_seq=12 ttl=64 time=874.597 ms
64 bytes from 192.168.x.x: icmp_seq=13 ttl=64 time=1.084 ms
64 bytes from 192.168.x.x: icmp_seq=14 ttl=64 time=1.300 ms
64 bytes from 192.168.x.x: icmp_seq=15 ttl=64 time=1.105 ms
64 bytes from 192.168.x.x: icmp_seq=16 ttl=64 time=1.003 ms
64 bytes from 192.168.x.x: icmp_seq=17 ttl=64 time=0.898 ms
64 bytes from 192.168.x.x: icmp_seq=18 ttl=64 time=0.950 ms
64 bytes from 192.168.x.x: icmp_seq=19 ttl=64 time=1.286 ms
Request timeout for icmp_seq 23
Request timeout for icmp_seq 24
Request timeout for icmp_seq 25
Request timeout for icmp_seq 26
Request timeout for icmp_seq 27
Request timeout for icmp_seq 28
Request timeout for icmp_seq 29
Request timeout for icmp_seq 30
Request timeout for icmp_seq 31
Request timeout for icmp_seq 32
Request timeout for icmp_seq 33
64 bytes from 192.168.x.x: icmp_seq=20 ttl=64 time=14937.991 ms
64 bytes from 192.168.x.x: icmp_seq=21 ttl=64 time=13936.044 ms
64 bytes from 192.168.x.x: icmp_seq=22 ttl=64 time=12935.515 ms
64 bytes from 192.168.x.x: icmp_seq=23 ttl=64 time=11934.229 ms
64 bytes from 192.168.x.x: icmp_seq=24 ttl=64 time=10931.481 ms
64 bytes from 192.168.x.x: icmp_seq=25 ttl=64 time=9940.769 ms
64 bytes from 192.168.x.x: icmp_seq=26 ttl=64 time=8939.275 ms
64 bytes from 192.168.x.x: icmp_seq=27 ttl=64 time=7939.032 ms
64 bytes from 192.168.x.x: icmp_seq=28 ttl=64 time=6935.061 ms
64 bytes from 192.168.x.x: icmp_seq=29 ttl=64 time=5934.329 ms
64 bytes from 192.168.x.x: icmp_seq=30 ttl=64 time=4929.460 ms
Request timeout for icmp_seq 45
Request timeout for icmp_seq 46
--- 192.168.x.x ping statistics ---
48 packets transmitted, 31 packets received, 35.4% packet loss
So I think I should focus first on this issue.
Because my DIR-868L is a replacement for a TP-Link that was not working stable anymore (also 2.4GHz router installed as access point, DD-WRT).
I assume my modem/router (Cisco ECP3925) is affecting other parts of my network.
I reported this to my ISP.
Any suggestions?