The best way to find out which capabilities your CPU has; is to boot Android-x86 into debug mode, and cat /proc/cpuinfo
If your cpu supports sse3, you will see ssse3 under the flags section. Examples:
WITH (from a Core i7): flags : fpu vme de pse tsc msr pae mce cx8 apic sep mtrr pge mca cmov pat pse36 clflush dts mmx fxsr sse sse2 ss ht syscall nx rdtscp lm constant_tsc arch_perfmon pebs bts rep_good xtopology tsc_reliable nonstop_tsc aperfmperf pni ssse3 cx16 sse4_1 sse4_2 x2apic popcnt hypervisor lahf_lm ida
WITH (from a Core 2 Duo): flags : fpu vme de pse tsc msr pae mce cx8 apic sep mtrr pge mca cmov pat pse36 clflush dts acpi mmx fxsr sse sse2 ss ht tm pbe nx lm constant_tsc arch_perfmon pebs bts aperfmperf pni dtes64 monitor ds_cpl vmx est tm2 ssse3 cx16 xtpr pdcm lahf_lm dtherm tpr_shadow
WITHOUT (from a Pentium M): flags : fpu vme de pse tsc msr pae mce cx8 apic sep mtrr pge mca cmov clflush dts acpi mmx fxsr sse sse2 ss tm pbe nx bts est tm2
{Pentium/Celeron/Xeon} 4's all support SSE2; and the newest of them, the Prescott (90nm) series, support SSE3; but I do not see any evidence that the Prescott was ever released in a mobile platform.
Good images to try would be:
If either of those boot into the gui, your system supports SSE2 but not SSE3
IRT your graphics card; the 845G is supported by the i915G drivers; so you should not have an issue there.
V/r,
Mike