How can I attach a 1/4 inch cord to my ca-110 tonebank to record the nusic played through a tascam dp-008 pocket studio

I would go for getting someone else to record at studio, means they have all the professional ideas to bring to the table, solve problems, but if your just playing around in home a small focusrite 2/2 should do you, with 2 inputs for left and right mono from desk, or also dual linking in two separate channels via xlr.

You could install VLC. It is free of charge and has everything to play your music and video's.
And the best thing it is for Windows and MAC.
VideoLAN Official page for VLC media player the Open Source video...

1. Press and hold down the ASSIGN A button (the light should be blinking) then (simultaneously) press the REC button above channel number 1. The light should blink when you do this.
2. Release the ASSIGN A and the REC button
3. Press the REC button above channel 1 (the light should be blinking by itself)
4. You should see the meters moving with in the display above Input A and Track 1 when you speak into the microphone.
5. Press the REWIND button twice until the display reads ABS 00.00.00.00
6. Press and hold the RECORD button and press the PLAY button. The REC light above channel one, the PLAY light and the RECORD light should become solid.
7. After recording press the STOP button.
8. Press the REWIND button twice until the display reads ABS 00.00.00.00
9. Press the PLAY button.

Are you trying to use the mic input on the back or plugging it into the instrument input on the front? If you use a low impedance mic with a quarter inch instrument input cord, you would need a transformer adapter to make the mic work on high impedance. Even if you put it on line in, you would still have to convert it. Only the XLR socket on the back will work on a low impedance mic.

if you don't want to wait, you can go to radio shack and get a universal adapter for a bit more, but it should work no problem.
http://www.amazon.com/HQRP-Adapter-compatible-Keyboards-Replacement/dp/B004TXDL3C

A common probllem with stand-alone CD recordders is that one MUST do a "finalize" operation before the disk will play on most CD players.

You should be able to remove the card and plug it into your computer... you might need an adapter.
Other than deleting to get space on the card there is not much else you can do. Replace card with larger... it can go to 32Gb. Remember to format a new card beforoe use.

You will use microphone with balanced XLR connector into the XLR mic input. Note, the ALpha does NOT have phantom power so you cannot use condenser mics.

A guitar can be plugged into the hi-z instrument 1/4 inch jack on the left front of the unit.

To use the line 1/4 inch inputs you will use BALANCED TRS 1/4 inch cables from your source.for these channels. The level on these needs to be line level.

The line outs are for sending audio out to an amp. There appears to be RCA outputs you can use as well.

I am not sure what you mean by making your "amp record"... An amp PLAYS the audio, usually into a speaker.

If you are trying to play a guitar through your amp AND record, then you will connect your guitar to the Alpha, the amp input will have a cable from say Line 1 OUTPUT and when recording wou will have the echo feature on so your guitar is passed through to the amp.

You can use headphones or monitor speakers that are hooked to an amp. If you don't have one ,consider downloading a manual:http://www.tascam.com/i-3582-232-128-1-4A000F90.pdf Pay attention to the caution on page 9 and the hookup diagrams are on pages 12 and 13. Hope this helps.

Check that you don't have old batteries in the unit. Also that the auto power down is not activated.

If using a power adapter make sure it is the RIGHT one, both in polarity and current rating.