Very detailed Tellraw command that i need help with [duplicate]

All of the problems I noted with your code:

• You didn't escape ", causing the problem you're getting
  Fix this by escaping quotes within quotes, like so: /"
• You have multiple commands in one run statement.
  Fix this by having multiple clicks.
• You didn't separate your text elements
  Fix this by having each text element in its own dictionary.
• Your command in the runCommand value is too long.

Here is an expanded (and corrected) JSON view of your code:

[
    "",
    {
        "selector": "@p",
        "color": "dark_purple",
        "bold": true,
        "italic": true
    },
    {
        "text": " has found mining supplies! Click ",
        "color": "aqua",
        "bold": true,
        "italic": false
    },
    {
        "text": "here for Torches",
        "color": "dark_red",
        "italic": true,
        "underlined": true,
        "clickEvent": {
            "action": "run_command",
            "value": "/give @p torch 10"
        },
        "bold": false
    },
    {
        "text": " and ",
        "color": "aqua",
        "italic": true,
        "underlined": false
    },
    {
        "text": "Here for a Pickaxe",
        "color": "dark_red",
        "italic": true,
        "underlined": true,
        "clickEvent": {
            "action": "run_command",
            "value": "/give @p iron_pickaxe 1 249 {display:{Name:\"Dull Pickaxe\",Lore:[\"This pickaxe is very worn out\",\"can only be used for fighting\",\"and mining weak stone\"]}}"
        }
    }
]

A minified Command Block friendly version of this code is this:

/tellraw @a ["",{"selector":"@p","color":"dark_purple","bold":true,"italic":true},{"text":" has found mining supplies! Click ","color":"aqua","bold":true,"italic":false},{"text":"here for Torches","color":"dark_red","italic":true,"underlined":true,"clickEvent":{"action":"run_command","value":"/give @p torch 10"},"bold":false},{"text":" and ","color":"aqua","italic":true,"underlined":false},{"text":"Here for a Pickaxe","color":"dark_red","italic":true,"underlined":true,"clickEvent":{"action":"run_command","value":"/give @p iron_pickaxe 1 249 {display:{Name:\"Dull Pickaxe\",Lore:[\"This pickaxe is very worn out\",\"can only be used for fighting\",\"and mining weak stone\"]}}"}}]

In the future, you should use generators to do this for you.

Note: The Pickaxe command may be too long to actually run. You might want to make it act as a "trigger" command that causes other command blocks to run. You can do this using the aptly-named /trigger command. From there, have a bunch of command blocks give the items to everyone with that scoreboard value set to 1.

To do this, create a Scoreboard objective with some unique name, like NeedsItemPack83028. Then, make it a valid Trigger by running /scoreboard players enable @a NeedsItemPack83028. Your command block would have the command set to /trigger NeedsItemPack83028. From there, you have a bunch of command blocks on a tick clock checking for NeedsItemPack83028. Apply the items to everyone who has it, and clear the flag.

Now, this opens the trigger command up to abuse. You can have a second Scoreboard item (ItemPack83028Redeemed) that can not be set by triggers. Ensure that that is false before giving items (!=).