Will my laptop run bf4 or skyrim?

I doubt it.
You may note that they carefully avoid telling you what it has for Video Graphics, and VG Dedicated memory, which is very important for gaming.
SKYRIM SPECS:
Recommended Requirements
-Wndows 7/Vista/XP PC (32 or 64 bit)
-Quad-core Intel or AMD CPU processor
-4GB System RAM
-6GB free HDD (Hard disk drive) space
-DirectX 9.0c compatible NVIDIA or AMD ATI video card with 1GB of RAM: Nvidia GeForce GTX 260 or higher; ATI Radeon HD 4890 or higher
-DirectX compatible sound card

Minimum Specs:
-OS: Windows 7/Vista/XP PC (32 or 64 bit)
-RAM: 2 GB
-Video Card: DirectX 9.0c compliant video card with 512 MB of RAM - NVIDIA GeForce 7600 GT & ATI Radeon X1800.
-Sound Card: Yes
-Free Disk Space: 6 GB

BATTLEFIELD 4
-CPU: Intel Core 2 Duo 2.4 GHz, AMD Athlon X2 2.8 GHz or better
-RAM: 4 GB
-OS: Windows Vista SP2 32-Bit (with KB971512 System Update)
-Video Card: 512 MB AMD Radeon HD 3870 / NVIDIA GeForce 8800 GT or better
-Free Disk Space: 30 GB

I think you should not have any issue while running the games.As,
The minimum system requirements for running bf4 are:
-CPU: Intel Core 2 Duo 2.4 GHz, AMD Athlon X2 2.8 GHz or better
-RAM: 4 GB
-OS: Windows Vista SP2 32-Bit (with KB971512 System Update)
-Video Card: 512 MB AMD Radeon HD 3870 / NVIDIA GeForce 8800 GT or better
-Free Disk Space: 30 GB
-CPU: AMD Six-core CPU, Intel quad-core CPU or better

Similarly, the minimum required specifications for running skyrim are:
-Windows 7/Vista/XP PC (32 or 64 bit)
-Processor: Intel Dual Core 2.0GHz or equivalent processor (AMD Sempron @ 2.4 GHz)
-2GB System RAM, 6GB free HDD space
-Direct X 9.0c compliant video card with 512 MB of RAM
-DirectX compatible sound card