Dual IP IPv4 Issue

Hello,

I currently have a problem that is causing me some issues. I am interning and I need to virtualize an infrastructure. For that, I am using an ESXi. I have a switch that connects my client PC to my server locally. When I am local, everything works very well, no problem. However, when I connect to the internet, so that my VMs can access the internet, I have an IP addressing problem on my client machine. I have an IPv4 address, but it's a duplicate of the type 169.254.xx.xx. However, I have configured my local network card to have a static IP.
Here is what an ipconfig /all gives me:

Windows IP Configuration

Host Name . . . . . . . . . . : PC-ARenommer
Primary DNS Suffix . . . . . . :
Node Type. . . . . . . . . . : Hybrid
IP Routing Enabled. . . . . . . . . : No
WINS Proxy Enabled. . . . . . . . . : No
DNS Suffix Search List.: martenat.int

Wireless Network Adapter Wireless Network Connection 2:

Media State. . . . . . . . . . . . : Media disconnected
Connection-specific DNS Suffix. . . :
Description. . . . . . . . . . . . . . : Microsoft Virtual WiFi Miniport Adapter
Physical Address . . . . . . . . . . . : 60-67-20-98-D1-EF
DHCP Enabled. . . . . . . . . . . . . . : Yes
Autoconfiguration Enabled. . . : Yes

Ethernet Adapter Bluetooth Network Connection:

Media State. . . . . . . . . . . . : Media disconnected
Connection-specific DNS Suffix. . . :
Description. . . . . . . . . . . . . . : Bluetooth Device (Personal Area Network)
Physical Address . . . . . . . . . . . : 20-68-9D-60-6E-61
DHCP Enabled. . . . . . . . . . . . . . : Yes
Autoconfiguration Enabled. . . : Yes

Wireless Network Adapter Wireless Network Connection:

Connection-specific DNS Suffix. . . : martenat.int
Description. . . . . . . . . . . . . . : Intel(R) Centrino(R) Advanced-N 6205
Physical Address . . . . . . . . . . . : 60-67-20-98-D1-EE
DHCP Enabled. . . . . . . . . . . . . . : Yes
Autoconfiguration Enabled. . . : Yes
IPv4 Address. . . . . . . . . . . . . .: 192.168.8.161(preferred)
Subnet Mask. . . . . . . . . . . . . . : 255.255.255.0
Lease Obtained. . . . . . . . . . . . . : Friday, April 29, 2016 08:47:59
Lease Expires. . . . . . . . . . . . . : Saturday, May 7, 2016 08:47:59
Default Gateway. . . . . . . . . . . . . : 192.168.8.254
DHCP Server . . . . . . . . . . . . . : 192.168.8.70
DNS Servers. . . . . . . . . . . . . : 192.168.8.71
192.168.8.70
NetBIOS over Tcpip. . . . . . . . . . . : Enabled

Ethernet Adapter Local Area Connection:

Connection-specific DNS Suffix. . . :
Description. . . . . . . . . . . . . . : Broadcom NetXtreme Gigabit Ethernet
Physical Address . . . . . . . . . . . : D4-BE-D9-76-D9-07
DHCP Enabled. . . . . . . . . . . . . . : No
Autoconfiguration Enabled. . . : Yes
Automatic Private IP Address. . . : 169.254.156.118(duplicate)
Subnet Mask. . . . . . . . . . . . . . : 255.255.0.0
IPv4 Address. . . . . . . . . . . . . .: 192.168.0.1(duplicate)
Subnet Mask. . . . . . . . . . . . . . : 255.255.255.0
Default Gateway. . . . . . . . . . . . . : 192.168.0.254
NetBIOS over Tcpip. . . . . . . . . . . : Enabled

Tunnel Adapter isatap.martenat.int:

Media State. . . . . . . . . . . . : Media disconnected
Connection-specific DNS Suffix. . . : martenat.int
Description. . . . . . . . . . . . . . : Microsoft ISATAP Adapter
Physical Address . . . . . . . . . . . : 00-00-00-00-00-00-00-E0
DHCP Enabled. . . . . . . . . . . . . . : No
Autoconfiguration Enabled. . . : Yes

Tunnel Adapter isatap.{4CC14655-DD22-4F0E-9167-88F0EAE08BBA}:

Media State. . . . . . . . . . . . : Media disconnected
Connection-specific DNS Suffix. . . :
Description. . . . . . . . . . . . . . : Microsoft ISATAP Adapter #2
Physical Address . . . . . . . . . . . : 00-00-00-00-00-00-00-E0
DHCP Enabled. . . . . . . . . . . . . . : No
Autoconfiguration Enabled. . . : Yes

Tunnel Adapter isatap.{0C5B440E-5A59-47F1-9839-0C15651B5376}:

Media State. . . . . . . . . . . . : Media disconnected
Connection-specific DNS Suffix. . . :
Description. . . . . . . . . . . . . . : Microsoft ISATAP Adapter #3
Physical Address . . . . . . . . . . . : 00-00-00-00-00-00-00-E0
DHCP Enabled. . . . . . . . . . . . . . : No
Autoconfiguration Enabled. . . : Yes

I do not understand at all where the problem comes from, and even after several searches, there were solutions such as "go into your box, check if the DHCP has this or that", you will understand that I cannot access the router interface or the DHCP server.

If you could help me, it would be extremely kind, I have been stuck on this problem since yesterday afternoon and I would like to solve this problem to continue making progress on my project.

Thank you for your understanding,

Sincerely.