I'm sorry I missed your first post here at CameraLabs so may I wish you a belated welcome to our friendly community.
Thanks for sharing your images with us but, as Mark points out, the forum image posting guidelines are there for a reason so I've edited your post. 3456x2592 pixels was just a tad over our requested size limit.
With a combined size of nearly 5 MB your post would also have caused grief to members with slower Internet connections.
On your first image I see that the camera was working at ISO 800. The tiny sensors in compact cameras usually struggle to produce noise free images at anything more than ISO 100 and get around this by using quite aggressive noise reduction processing in the camera which has the effect of softening the image. Try going for a lower ISO number, if lighting permits or can be provided.