Moved post to "Support". Unless you intend to PAY someone for their response/assistance, you should not post in "Requests for consultation". In fact: In EVERY forum, you should read the "stickies" before you post. Stickies are the topics that have been forced to the top even though they are old. It's a common practice to put instructions for the use of each board in a sticky at the top.
Inbound-only is often best used in FreePBX. If you have NO use for autodialing outbound calls. Of course Vicidial can handle any level or type of call center, but if you're entry level Vicidial can be a bit daunting.
It will need to load up that particular business schedule with the incoming call, as well as new skins for scripts.
I'm not sure why the PBX would require a schedule. Your agents log in and are available when they are logged in, and not available when they are NOT logged in. If you refer to routing calls to agents only during certain hours, of course, then I understand the "that particular business schedule" reference.
Skins and Scripts, however, are different topics entirely. FreePBX is not good at scripts without paying money (Vicidial IS good at scripts without paying money, of course). But neither package is "skinnable" aside from perhaps showing different logos or colors in various areas of the scripts. So I'm not sure what you really think when you say "skins".
My best advice for you at this stage ... both Vicidial and FreePBX are free and open source packages. Both have Free installers that will wipe out a computer and convert it to a PBX suitable for VOIP telephone calls. Download Vicidial from Vicibox.com's site and use the PDF at that site to manage your installation, then use the Vicidial Manager's Manual (free and paid versions at EFLO.net) to configure and use the system. Starting at page one and working through until you have successful inbound calls is completely covered in the manual. Adding scripting to a successful campaign is also covered and not particularly difficult (of course, you CAN make much more complex scripts, but that's for later). FreePBX is available in many different downloads from many sites. All of them *will* try to sell you something during and after installation. They will try to convince you that you need to pay someone for all sorts of things, and even make it appear normal to do so. It's not. Don't pay anyone for anything related to Vicidial or FreePBX except (perhaps) training or installation (if you need assistance with either of those).
Best concept to remember: Screw it up. Take chances. Start over. It's free! Nobody will ever know after you wipe it clean and start over. If you have a virtualization system available (VirtualBox, VMware, vSphere, Proxmox) use it. But beware that Vicidial works well virtual for ONE user only. For an actual call center (or more than two users) you can expect to need an actual physical dedicated server.
Happy Hunting!